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Machine Learning Models of Plastic Flow Based on Representation Theory

Journal Article · · Computer Modeling in Engineering & Sciences
 [1];  [2];  [2];  [1]
  1. Sandia National Lab. (SNL-CA), Livermore, CA (United States). Mechanics of Materials Dept.
  2. Sandia National Lab. (SNL-CA), Livermore, CA (United States). Thermal/Fluid Science and Engineering Dept.

We use machine learning (ML) to infer stress and plastic flow rules using data from representative polycrystalline simulations. In particular, we use so-called deep (multilayer) neural networks (NN) to represent the two response functions. The ML process does not choose appropriate inputs or outputs, rather it is trained on selected inputs and output. Likewise, its discrimination of features is crucially connected to the chosen input-output map. Furthermore, we draw upon classical constitutive modeling to select inputs and enforce well-accepted symmetries and other properties. With these developments, we enable rapid model building in real-time with experiments, and guide data collection and feature discovery.

Research Organization:
Sandia National Lab. (SNL-CA), Livermore, CA (United States)
Sponsoring Organization:
USDOE National Nuclear Security Administration (NNSA); SNL Laboratory Directed Research and Development (LDRD) Program
Grant/Contract Number:
NA0003525
OSTI ID:
1502970
Report Number(s):
SAND--2019-2905J; 673466
Journal Information:
Computer Modeling in Engineering & Sciences, Journal Name: Computer Modeling in Engineering & Sciences Journal Issue: 3 Vol. 117; ISSN 1526-1492
Publisher:
Tech Science PressCopyright Statement
Country of Publication:
United States
Language:
English

References (11)

Implicit constitutive modelling for viscoplasticity using neural networks journal September 1998
Gaussian approximation potentials: A brief tutorial introduction journal April 2015
Stress-deformation relations for anisotropic solids journal January 1957
On the application of dual variables in continuum mechanics journal January 1989
The thermodynamics of elastic materials with heat conduction and viscosity journal December 1963
Neural networks for computing in fracture mechanics. Methods and prospects of applications journal July 1993
Support Vector Regression based Flow Stress Prediction in Austenitic Stainless Steel 304 journal January 2014
Extremal Systems of Points and Numerical Integration on the Sphere journal July 2004
The anisotropic tensors journal January 1957
Further Remarks on the Stress-Deformation Relations for Isotropic Materials journal January 1955
Neurobiological Computational Models in Structural Analysis and Design conference April 1990

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